6-x+12 = 10x+7 6+12-7 = 10x+x 11 = 11x x = 1
You have : -------------- ( x + 1 ) / ( x ) = ( -7 ) / ( x - 12 ) Multiply both sides by ( x ) ( x - 12 ) and get : ( x + 1 ) ( x - 12 ) = ( -7 ) ( x ) x^2 - 12x + x - 12 = -7x x^2 - 4x - 12 = 0 Factor the above : ( x - 6 ) ( x + 2 ) = 0 There are two roots : x = 6 <------------------ x = -2 <---------------
12/7 or 1 and 5/7
7 + 5 6 + 6 3 x 4 2 x 6
-6 X -2 (-1)6X(-1)2 (-1)(-1)12 12
6-x+12 = 10x+7 6+12-7 = 10x+x 11 = 11x x = 1
You have : -------------- ( x + 1 ) / ( x ) = ( -7 ) / ( x - 12 ) Multiply both sides by ( x ) ( x - 12 ) and get : ( x + 1 ) ( x - 12 ) = ( -7 ) ( x ) x^2 - 12x + x - 12 = -7x x^2 - 4x - 12 = 0 Factor the above : ( x - 6 ) ( x + 2 ) = 0 There are two roots : x = 6 <------------------ x = -2 <---------------
12/7 or 1 and 5/7
7 + 5 6 + 6 3 x 4 2 x 6
x2 + 6x - 72 = (x + 12)(x - 6)
Multiplication of fractions. 6/7 X 84/1 Cancel down by '7' 6/1 X 12/1 = 72/1 = 72 , The '1' is trivial .
2/1 x 6/7 = 12/7 or 1 5/7.
-6 X -2 (-1)6X(-1)2 (-1)(-1)12 12
1/3 x 6 x 12 = (1/3 x 6) x 12 = 2 x 12 = 24
1 x 5 Pence coin plus 7 x 1 Penny coins = 12 Pence. 6 x 2 Pence coins equals 12 Pence.
12 over 6, which is equal to (12 x 11 x 10 x 9 x 8 x 7) / (1 x 2 x 3 x 4 x 5 x 6).
1 x 36, 2 x 18, 3 x 12, 4 x 9, 6 x 6.